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## Main Question or Discussion Point

I wish to transform my diff. eq.

(1/r)*(dy/dr)*(d2/dr2(r*y))*dr into a more convenient expression, in a similar to the following transformation:

(dy/dx)*(d2y/dx2)*dx = 0.5*(d/dx(dy/dx)^2)*dx

which is a very convenient expression for integration ==> 0.5* (dy/dx)^2

So far, I have found the following expression, to which I haven't found the integration answer.

(1/(2*x^4)*(d/dx(x^2*dy/dx)^2)

I would appreciate your help

tbk1

(1/r)*(dy/dr)*(d2/dr2(r*y))*dr into a more convenient expression, in a similar to the following transformation:

(dy/dx)*(d2y/dx2)*dx = 0.5*(d/dx(dy/dx)^2)*dx

which is a very convenient expression for integration ==> 0.5* (dy/dx)^2

So far, I have found the following expression, to which I haven't found the integration answer.

(1/(2*x^4)*(d/dx(x^2*dy/dx)^2)

I would appreciate your help

tbk1